85 citations · 449 across the 45 of their papers we have counts for
54 papers
Galois groups of random polynomials of large degree
Guy Blachar, Emmanuel Breuillard, Gady Kozma
We study random polynomials of the form , where are independent, uniformly bounded integer-valued random variables, and $ω_1…
On dense free subgroups of Lie groups -- revisited
Emmanuel Breuillard, Tsachik Gelander
We show that every dense subgroup of a connected Lie group G contains a dense subgroup generated by 2d elements, where d=dim(G). We also give a detailed proof for the quantitive ch…
An exposition of Jordan's original proof of his theorem on finite subgroups of $\GL_n(\C)$
Emmanuel Breuillard
We discuss Jordan's theorem on finite subgroups of invertible matrices and give an account of his original proof.
Local limit theorems for random walks on nilpotent Lie groups
Timothée Bénard, Emmanuel Breuillard
We establish the (non-lattice) local limit theorem for products of i.i.d. random variables on an arbitrary simply connected nilpotent Lie group , where the variables are allowed…
The central limit theorem on nilpotent Lie groups
Timothée Bénard, Emmanuel Breuillard
We formulate and establish the central limit theorem for products of i.i.d. random variables on arbitrary simply connected nilpotent Lie groups, allowing a possible bias. Two new p…
Strongly dense free subgroups of semisimple algebraic groups II
Emmanuel Breuillard, Robert Guralnick, Michael Larsen
It was shown in Part I that there exist strongly dense free subgroups in any semisimple algebraic group over a large enough field. These are nonabelian free subgroups all of whose…